Recurrence equation and integral representation of Apéry sums
type: Item
instance of: scholarly article
title: Recurrence equation and integral representation of Apéry sums
zbMATH Open document ID: 1479.11143
author: Michael Uhl
published in: European Journal of Mathematics
publication date: 2021-07-15T00:00:00Z
Mathematics Subject Classification ID: 11M06
Mathematics Subject Classification ID: 11J86
Mathematics Subject Classification ID: 11G55
Mathematics Subject Classification ID: 11B65
zbMATH DE Number: 7371796
zbMATH Keywords: Apéry sum
zbMATH Keywords: zeta function
zbMATH Keywords: polylogarithm
zbMATH Keywords: central binomial coefficient
MaRDI profile type: Publication
full work available at URL: s40879-020-00415-y
OpenAlex ID: W3039578822
cites work: Q4184941
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cites work: Linear forms in the logarithms of algebraic numbers (II)
cites work: Linear forms in the logarithms of algebraic numbers (III)
cites work: A Note on the Irrationality of ζ(2) and ζ(3)
cites work: Central Binomial Sums, Multiple Clausen Values, and Zeta Values
cites work: Empirically Determined Apéry-Like Formulae for ζ(4n+3)
cites work: Q4769056
cites work: Interesting Series Involving the Central Binomial Coefficient
cites work: A proof that Euler missed. Apéry's proof of the irrationality of \(\zeta(3)\). An informal report
cites work: Q3415013
DOI: 10.1007/S40879-020-00415-Y
description: scientific article; zbMATH DE number 7371796